Shell-like quarteting in heavy nuclei: Algebraic approaches based on the pseudo- and proxy-SU(3) schemes

Background: The semimicroscopic algebraic quartet model (SAQM) generates the excitation spectra of shell-like quartets, formed by two protons and two neutrons in a well-defined shell configuration. It is based on the SU(3) symmetry, which is valid only in light nuclei. Algebraic quartet models have been proposed for heavy nuclei, too, but their shell model background is not known.